Question

if the longer side of the trapezium is 12 centimetre and the distance between the parallel side is 6 cm find the smallest parallel side if the area of the figure is 72 CM square

Answer 1

Answer:

$Area =216 \mathrm{~cm}^2$

Step-by-step explanation:

A perpendicular is a straight line in mathematics that forms a right angle (90 degrees) with another line. In other words, two lines are perpendicular to one another if they connect at a right angle. Lines on a plane that are consistently spaced apart are known as parallel lines. Parallel lines don't cross each other. Perpendicular lines are those that cross at a straight angle of 90 degrees.

A quadrilateral with one set of parallel opposing sides is a trapezium. The bases and legs of a trapezium are referred to be parallel and non-parallel, respectively. It also goes by the name trapezoid. The parallelogram is also also referred to as a trapezoid with parallel sides.

The mid points distance is the average hence,

$\begin{aligned}& \frac{1}{2} \times \text { sum of parallel sides }=18 \mathrm{~cm} \\& \therefore 18 \times 12=\text { Area } \\& \text { Area }=216 \mathrm{~cm}^2\end{aligned}$

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